Answer: (A) Kurt's expression; x = 4.6k
(B) Jared's expression; y = 4.4j
(C) Team's score; z = 4.6k + 4.4j
(D) Team score = 40.6 m
Step-by-step explanation: In order to calculate the average of a given set of data, the formula is to sum up the given data or values and then divide the sum total by the number of values observed. That means, if for instance a student jumps 10 times, his average would be given as the sum of all 10 distances jumped divided by 10. If the sum derived equals 50, then the student's average is 50 divided by 10. In other words;
Average = (∑x)/x
When we cross multiply, this can also result in
Average*x = ∑x
The question has given us the average for both students, hence we can derive their average as described above. If Kurt jumps k number of times, then his average jump will be;
4.6 = (∑k)/k
And remembering that Average*x is the same value as ∑x, we substitute for the value given in the question, which is k. Hence,
4.6*k = ∑k
Note that the total score for each boy can now be determined as the average calculated times the total number of jumps, that is, working backwards. Hence, Kurt's total score is 4.6k.
(a) If we represent Kurt's score as x, then we can express his score as
x = 4.6k ------(1)
(b) If we represent Jared's score as y, then we can express his score as
y = 4.4j ------(2)
(c) The team score is the sum of the scores of both boys. Hence, if the boys scores have been written in terms of x and y then the team score shall be represented by z. Therefore we now have;
z = x + y
z = 4.6k + 4.4j
(d) If Kurt jumps 5 times then his total score will be
x = 4.6k
x = 4.6(5)
x = 23 m
If Jared jumps 4 times then his total score will be
y = 4.4j
y = 4.4(4)
y = 17.6 m
The team score therefore is determined as
z = x + y
z = 23 + 17.6
z = 40.6
The team score is a total of 40.6 m
Please help me with this question
Answer:
x = 20.3
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan 55 = 29 /x
Multiply each side by x
x tan 55 = 29
Divide by tan 55
x = 29 / tan 55
x =20.30601861
To the nearest tenth
x = 20.3
Choose a fraction that makes the following sentence true. 0.1
is a rational number because it can be written as -
0.1
o
The fraction that makes the statement true is 1/10.
The sentence would be: "0.1 is a rational number because it can be written as 1/10."
The statement "0.1 is a rational number because it can be written as 0.1" is not accurate.
The decimal 0.1 is already a rational number because it can be expressed as the fraction 1/10.
Therefore, the correct sentence would be:
"0.1 is a rational number because it can be written as 1/10."
Question
Choose a fraction that makes the following sentence true. 0.1 is a rational number because it can be written as 0.1
An above-ground rainwater tank is rectangular and has a length of 15
feet and a height of 2 feet. It will hold 375 cubic feet of water. What is the
height of the rainwater tank?
Answer:
The width of the tank is 12.5 feet
Step-by-step explanation:
We need to find the width, not height of the rainwater tank, since the height is already given.
The volume of a rectangular prism is given as:
V = L * W * H
where L = length of the tank
W = width of tank
H = height of tank
We have its volume as 375 cubic feet and the length, L, as 15 feet and height, H, as 2 feet.
Therefore, its width is:
375 = 15 * W * 2
375 = 30W
=> W = 375 / 30
W = 12.5 feet
The width of the tank is 12.5 feet.
What is the interquartile range of this data? a5 b8 c13 d17
0 5 10 15 20
The gas tank in Feliz's car is full. Each time he drives to or from work, he uses 1 of a full
tank of gas. Which equation represents the number of times Feliz can drive to or from work
with the gas in his tank?
Answer: number of times feliz can drive to or from work with the gas in his tank is 10 times
Step-by-step explanation:
Let's start by reviewing the slope-intercept formula:
y = mx + b
At the start of the journey, we have a tank that's 5/6 full and have yet to go anywhere. That means that our b is 5/6.
Thus:
y = mx + 5/6
Now, every time he drives to or from work, be loses 1/12 of a full tank.
Thus;
y = -(1/12)x + 5/6
negative because the initial volume of gas is decreasing whenever he goes out.
Now, to get the number of times feliz can drive to or from work with the gas in his tank, y = 0.
Thus,
0 = -(1/12)x + 5/6
Add (1/12)x to both sides to give;
(1/12)x = 5/6
x = 5/6 ÷ 1/12
x = 10
what times what times what equals 19,248.832
Do you mean the square root? That is what I am going to answer here.
138.7401600114401 is the square root
I hope this helps.
Answer:
2 · 9,624.416
Step-by-step explanation:
19,248.832 ÷ 2 =
9,624.416
Which of the following equations has only one solution?
x2 - 8x + 16 = 0
x(x - 1) = 8
x2 = 16
Answer:
none
Step-by-step explanation:
Temdan2001 pls help me
Answer:
D; D; B
Step-by-step explanation:
Question 1:
All of the outcomes are not equally likely because there is a lot of variation between the relative frequencies of the different landing positions.
As we can see from the data, the cup will most likely land sideways, then backwards, then upright. Since there is a lot of variation between the number of times this happens, we know this isn't just because of the random factor, but because there is a higher probability of it landing on its side. Additionally, the huge differences between the numbers tell us that the 3 outcomes are not equally likely. That removes option A and B. We know it isn't option C because the relative frequency of it landing sideways is not the lowest, but the highest. (Upwards: 9/60= 0.15= 15%, Upside down: 15/60= 0.25= 25%, Sideways: 36/60= 0.6= 60%) Therefore, option D is the correct answer.
Question 2:
Yes, it is a fair model because the relative frequencies of all the outcomes are similar.
We can look at the table, and understand the the relative frequencies of these outcomes will all be similar.
We can calculate it to make sure.
L: 10/40= 0.25= 25%
E: 11/40= 0.275= 27.5%
A: 9/40= 0.225= 22.5%
P: 10/40= 0.25= 25%
As you can see, the relative frequency of all these options is similar, indicating that this is a fair model.
Question 3:
Yes, it is a fair model because the relative frequencies of all the outcomes are similar.
Once again, when looking at the tables, we see that all outcomes occur a similar number of times, meaning that the model is most likely fair.
To make sure, we can calculate the relative frequencies.
Green: 12/50= 0.24= 24%
Pink: 9/50= 0.18= 18%
Yellow: 11/50= 0.22= 22%
Blue: 10/50= 0.2= 20%
Red: 8/50= 0.16= 16%
Although these frequencies aren't as similar as the previous model, I would still deem them similar enough for the model to be considered fair.
If the APR of a savings account is 4.8% and interest is compounded monthly,
what is the approximate APY of the account?
O A. 1.05%
O B. 10.49%
O C. 4.91%
O D. 4%
Answer:
C. 4.91%
Step-by-step explanation:
The effect of frequent compounding is to increase the nominal interest rate by a small factor. For interest rates in a practical range (<20%/year), the effective increase in rate will be approximately half the original interest rate.
ApproximationFor an interest rate of 4.8%, we expect the compounding to increase it by less than 2.4%. The maximum effective rate due to compounding is approximately (4.8%)(1 +2.4%) ≈ 4.91%.
Exact computationFor nominal annual rate r compounded n times per year, the effective annual rate is ...
r' = (1 +r/n)^n -1
For r = 0.048 and n = 12, this becomes ...
r' = (1 +0.048/12)^12 -1 = 1.004^12 -1 ≈ 1.049070208 -1 ≈ 4.91%
__
Additional comment
After you have worked with interest compounding for a bit, you realize compounding increases the effective rate by a small amount. That means the value will be more than 4.8% (eliminating choices A and D), but certainly will not be as high as 10% (eliminating choice B). The only reasonable choice is C, which happens to be the correct one.
In a 45-45-90 rìght triangle, what is the ratio of the length of one leg to the
length of the other leg?
Answer:
The legs of a 45 45 90 are equal
And the length of the hypotenuse equals
leg * square toot of 2
Step-by-step explanation:
The length of a rectangle is 8 centimetres less than its width. What are the dimensions of the rectangle if its area is 240 square centimetres?
Answer:
Well, Your best answer will be is 35.
Here's a Explain.
W-5=0
W=5 That's for the width.
L=3*5-8
L=15-8=7 And, That's for the length.
Here's proof.
35=7*5
35=35
Hope That Helps!~
[tex]^{Itsbrazts}[/tex]
consider the infinite geometric series below.
a. write the first four terms in the series
b. does a series diverge or converge
c. it's a series has a sum, find the sum
You have a rectangular garden that is 10 feet
wide and 15 feet long. You want to increase
the garden so that each side is twice as long
as they are now.
a. What will be the area of the
new garden?
b. Will the area of the new garden be
twice as large as it is now? Explain.
a. If you double both sides, you'll get a rectangle with dimensions 20 feet wide and 30 feet long, therefore the area will be 20 × 30 = 600 feet².
b. The area of the old rectangle was 10 × 15 = 150 feet², so no the area is not twice as large, it is 4 times as large. This is because if the area is base × height, then doubling both of these gets you (2 × base) × (2 × height) = 4 × (base × height).
I hope this helps!
|BRAINLIEST|
Which statement about determining the quotient 1/12÷3 is true?
A) Because 1/36 × 3 =112 , 1/12 divided by 3 is 1/36 .
B) Because 4/3 × 3 = 1/12 , 1/12 divided by 3 is 4/3 .
Because 3/4 ×3 = 1/12 , 1/12 divided by 3 is 3/4 .
Because 1/4 × 3 = 1/12 , 1/12 divided by 3 is 1/4 .
Answer:
A)
Step-by-step explanation:
The answer is A) because when you do the math you have to flip 3/1 around so you get 1/3, and when you multiply 1/3 by 1/12 you get 1/36. (I'm so stupid, i wrote in the comments at first)
Answer: IT IS A
Step-by-step explanation:
Because 1/36×3=1/12, 1/12 by 3 is 1/36. YOU x first than divided
The volume of a cube is 27 cubic inches. Which expression represents s, the length of a side of the cube? Recall the formula Cube volume = s cubed.
The expression that represents the length of a side of the cube should be S= 3 times 3 times 3
Calculation of the expression:Since The volume of a cube is 27 cubic inches.
Here we know that
The volume is the cube of the side is [tex]side^3[/tex]
So basically 3 sides should be multiplied to determine the volume.
Hence, we can conclude that The expression that represents the length of a side of the cube should be S= 3 times 3 times 3
Learn more about volume here: https://brainly.com/question/864985
175% of a number is 91 what is the number?
Answer:
I got 159.25. I hope this helps.
Determine the angle at the centre of a circle with a radius of 8.0 cm for an arc length of 12.0 cm.
A. 2/3 radians
B. 1/3 radians
C. 3/2 radians
D. 3π / 2 radians
Answer:
C. 3/2 Radians
Step-by-step explanation:
As we know, a radian is defined as "the angle enclosed by an arc equal to the radius", or some variant of such.
This means 1 radian in this circle would have an arc length of 8cm.
Simple proportions should get you an answer:
[tex] \frac{1 \: radians}{8cm} = \frac{x \: radians}{12cm} \\ 8x = 12 \\ x = \frac{12}{8} \\ x = \frac{3}{2} [/tex]
Which is the graph of 5 log (x + 3) = 5?
Answer:
Its 7
Step-by-step explanation: You simplify 5 log (x+3) by moving 5 inside the logarithm. log ((x+3)^5)=5. You graph each side of the equation. The solution is the x-value of the point of the intersection which results into x=7
3 parts: List the ratios for using angle A as the angle of reference reduce when necessary
Sin A= Cos A= Tan A=
Answer:
[tex]\sin{A}=21/29\\\cos{A}=20/29\\\tan{A}=21/20[/tex]
Step-by-step explanation:
The sine of an angle in a right triangle is the ratio of the side across from the angle with the hypotenuse of the triangle (the hypotenuse is the side across from the right angle). In this case, the sine of angle A, shortened to [tex]\sin{A}[/tex], is [tex]21/29[/tex].
Cosine is short for "complementary sine." If the angles A + C = 90, the cosine of A is equal to the sine of C, since A and C are complementary. So [tex]\cos{A}=\sin{C}=20/29[/tex]. Notice that this ratio is the same as the ratio of the side adjacent to angle A (AB), to the hypotenuse.
The tangent is the ratio of the side opposite an angle to the side adjacent to it. Here, [tex]\tan{A}=21/20[/tex]. So, our trig ratios for this angle are
[tex]\sin{A}=21/29\\\cos{A}=20/29\\\tan{A}=21/20[/tex]
Fatima opens an account with 1300 that earns 3.5% interest, compounded monthly. How long will it take the account value to be $2500?
Answer:
The formula to calculate the account value in future (compounded monthly):
A = Principal x (1 + rate/12)^(month)
=> 2500 = 1300 x (1 + (3.5/100)/12)^(month)
=> (1 + 0.00291)^(month) = 2500/1300
=> 1.00291^(month) = 1.923
=> month = log(1.923)/log(1.00291) = 225
=> It will take 225 months to have 2500 dollar in account.
Hope this helps!
:)
select all that apply.
Answer:
1st, 3rd, and 4th options
As part of an experiment, 500 milligrams of chlorine is added to a tank each day for 60 days.
How many grams of chlorine is added to the tank in 60 days?
Enter your answer as a whole number or decimal in the box.
sorry i have another question
Answer:
30 grams
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
Help meee !!!!!
Brainliest!!!
Answer:
The aswer is D
Step-by-step explanation:
Solve the equation:
3c=123c=12
__________ and other cash crops are grown on the fertile lands of Mt. Kilimanjaro’s slopes.
A.
Oranges
B.
Rice
C.
Coffee
D.
Maize
Please select the best answer from the choices provided
A
B
C
D
Answer:
Coffee doing it rn
Step-by-step explanation:
PLEASE ANSWER I REALLY NEED IT ASAP (30points) ZOOM IN TO SEE IT BETTER
Answer:
x = 1 ; x = 8
Step-by-step explanation:
6x² - 5x + 10 = 5x² + 4x + 2
x² - 9x + 8 = 0
x² - 8x - x + 8 = 0
x(x - 8) - (x -8) = 0
(x - 8)(x - 1) = 0
x = 1, x = 8
Answer:
x=8 x=1
Step-by-step explanation:
f(x) = g(x)
6x^2 -5x +10 = 5x^2 +4x+2
Subtract 5x^2 from each side
6x^2-5x^2 -5x +10 = 5x^2-5x^2 +4x+2
x^2 -5x +10 = 4x+2
Subtract 4x from each side
x^2 -5x-4x +10 = 4x-4x+2
x^2 -9x +10 = 2
Subtract 2 from each side
x^2 -9x +10-2 = 2-2
x^2 -9x +8 =0
Factor
What 2 numbers multiply to 8 and add to -9
-8 *-1 = 8
-8-1 = -9
(x-8) (x-1) =0
Using the zero product property
x-8 = 0 x-1 =0
x=8 x=1
Answer soon please will give brainiest.
Evaluate.
4C2 =
Answer:
6
Step-by-step explanation:
₄C₂ means that we're trying to see how many ways we can pick 2 things out of a group of 4. We have 4 options for our first pick and 3 for our second, so that gives us a total of 4 · 3 = 12 ways of choosing.
Now, the "C" in ₄C₂ is short for "combinations." Order doesn't matter where combinations are concerned. Let's say the set we're choosing from is the set of the letters A, B, C, and D. Here are all the ways we can choose two different letters from that list:
AB, AC, AD, BA, BC, BD, CA, CB, CD, DA, DB, DC
Notice that, for each pair, we have another in the set that contains the same letters: AB and BA, AC and CA, BD and DB... If order doesn't matter, we can cut all of those second pairs, giving us 12 / 2 = 6 total combinations.
Which is a factor pair of 72?
12,6
14,5
23,4
24, 2
Answer:
12,6
Step-by-step explanation:
The factor pair of 72 is 12 and 6 because, factors are the 2 numbers you multiply together to get the product. In this case, the product is 72. 12x6=72 So therefore, 12 and 6 are the factors of 72. You can figure this out simply by multiplying 12 and 6 together.
The factor pairs of 72 are (1,72), (2,36), (3,24), (4,18), and (6,12).
Explanation:To find the factor pairs of 72, we need to find pairs of numbers that multiply together to give us 72. Let's list all the factors of 72 and check which pairs multiply to give us 72:
1 x 72 = 722 x 36 = 723 x 24 = 724 x 18 = 726 x 12 = 72So, the factor pairs of 72 are (1, 72), (2, 36), (3, 24), (4, 18), and (6, 12).
Learn more about factor pairs here:
https://brainly.com/question/30391475
Help help help me please
Answer:
[tex]A[/tex] ≈ [tex]80.03[/tex]
Step-by-step explanation:
I used the equation [tex]A=[/tex] π[tex]r(r+h^{2}+r^{2})[/tex] to find the surface area
i hope this helps
Where can I find Gradpoint answers?????